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Automatic scheduling of nurses: What does it take in practice?
Linköping University, Department of Mathematics, Optimization . Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Optimization . Linköping University, The Institute of Technology.ORCID iD: 0000-0003-2094-7376
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology. (Schemagi AB)
2013 (English)In: Systems Analysis Tools for Better Healthcare Delivery / [ed] Panos M. Pardalos, Pando G. Georgiev, Petraq Papajorgji, Britta Neugaard, New York, NY: Springer Science+Business Media B.V., 2013, 151-178 p.Chapter in book (Refereed)
Abstract [en]

This book presents some recent systems engineering and mathematical tools for health care along with their real-world applications by health care practitioners and engineers. Advanced approaches, tools, and algorithms used in operating room scheduling and patient flow are covered. State-of-the-art results from applications of data mining, business process modeling, and simulation in healthcare, together with optimization methods, form the core of the volume. Systems Analysis Tools for Better Health Care Delivery illustrates the increased need of partnership between engineers and health care professionals. This book will benefit researchers and practitioners in health care delivery institutions, staff members and professionals of specialized hospital units, and lecturers and graduate students in engineering, applied mathematics, business administration and health care. 

Place, publisher, year, edition, pages
New York, NY: Springer Science+Business Media B.V., 2013. 151-178 p.
Series
Springer Optimization and Its Applications, ISSN 1931-6828 ; 74
Keyword [en]
Mathematics, Practice of medicine, Mathematical optimization, Optimization, Operations Research, Management Science, Health Administration, Mathematical Modeling and Industrial Mathematics, Mathematical Modeling and Industrial Mathematics, Medical care, Hospital care
Keyword [sv]
Matematiska modeller, Hälso- och sjukvård
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-76079DOI: 10.1007/978-1-4614-5094-8_8ISBN: 978-1-4614-5093-1 (print)ISBN: 978-1-4614-5094-8 (print)OAI: oai:DiVA.org:liu-76079DiVA: diva2:512138
Available from: 2012-03-26 Created: 2012-03-26 Last updated: 2014-11-06Bibliographically approved
In thesis
1. Contributions within two topics in integer programming: nurse scheduling and column generation
Open this publication in new window or tab >>Contributions within two topics in integer programming: nurse scheduling and column generation
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Integer programming can be used to provide solutions to complex decision and planning problems occurring in a wide variety of situations. The application of integer programming to solve real world problems requires a modelling phase in which the problem at hand is translated into a mathematical description of the problem, and a solution phase that aims at developing methods for producing solutions to the mathematical formulation of the problem.

The first two papers of this thesis have their focus on the modelling phase, and the application of integer programming for solving nurse scheduling problems. Common to both papers is that the research has been conducted in collaboration with health care representatives, and that the models presented can be used for providing schedules that can be used by nurses. In the latter paper, a meta-heuristic approach is suggested for providing the schedules.

The last three papers address method development and specifically the design of column generation methods. The first of these papers presents optimality conditions that are useful in methods where columns are generated using dual solutions that are not necessarily optimal with respect to a linear programming relaxation, and the usefulness of these conditions are illustrated by examples from the literature.

Many applications of column generation yield master problems of a set partitioning type, and the fourth and fifth paper present methodologies for solving such problems. The characteristics of these methodologies  are that all solutions derived are feasible and integral, where the preservation of integrality is a major distinction from other column generation methods presented in the literature.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2012. 39 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1421
National Category
Computational Mathematics
Identifiers
urn:nbn:se:liu:diva-76092 (URN)978-91-7519-975-7 (ISBN)
Public defence
2012-05-10, Visionen, B-huset, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
Opponent
Supervisors
Available from: 2012-03-28 Created: 2012-03-26 Last updated: 2013-08-30Bibliographically approved

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Rönnberg, ElinaLarsson, TorbjörnBertilsson, Ann

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